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How to integrate a function within a square root

  • Thread starter seanm924
  • Start date
1. The problem statement, all variables and given/known data
Find the length of x=y^3/30+5/(2y) on 3 <= y <= 5


2. Relevant equations

L = integral sqrt(1+(dx/dy)^2)dx

3. The attempt at a solution

I got to the integral upper bound = 5, lower bound = 3, sqrt(y^4/100+25/(4y^4)+1/2)dy. How do I actually solve the integral? It would be find if there wasn't a square root.
1. The problem statement, all variables and given/known data



2. Relevant equations



3. The attempt at a solution
 

Mentallic

Homework Helper
3,797
94
Factor out [tex]\frac{1}{100y^4}[/tex] inside the root and see if you can go from there.
 

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